# combination

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## combination,

in business: see trust**trust,**

in law, arrangement whereby property legally owned by one person is administered for the benefit of another. Three parties are ordinarily needed for the relation to arise: the settlor, who bequeaths or deeds the property for another's benefit; the trustee, in whose hands

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The Columbia Electronic Encyclopedia™ Copyright © 2013, Columbia University Press. Licensed from Columbia University Press. All rights reserved. www.cc.columbia.edu/cu/cup/

The following article is from

*The Great Soviet Encyclopedia*(1979). It might be outdated or ideologically biased.## Combination

(in Russian, *kombinatsiia*). **(1)** An interdependent union, connection, or arrangement of several objects or component parts (elements) of a single object.

**(2)** A set of procedures for carrying out a complex plan, such as a chess combination.

**(3)** A contrivance, trick, or subterfuge; a deliberate maneuver to achieve a mercenary or other improper goal (commercial combination; political combination).

**(4)** An item of women’s underclothing (a slip).

## Combination

in mathematics. Combinations of *n* elements taken *k* at a time are sets that contain *k* of the *n* elements and that differ from each other in at least one element. The number of combinations of *n* elements, *k* at a time, is denoted by , *C* (*n, k*), or and is equal to *n!/k!(n - k)!* (*see*COMBINATORICS).

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.

## combination

[‚käm·bə′nā·shən] (mathematics)

A selection of one or more of the elements of a given set without regard to order.

McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## combination

**1.**

**a.**the set of numbers that opens a combination lock

**b.**the mechanism of this type of lock

**2.**

*Brit*a motorcycle with a sidecar attached

**3.**

*Maths*

**a.**an arrangement of the numbers, terms, etc., of a set into specified groups without regard to order in the group

**b.**a group formed in this way. The number of combinations of

*n*objects taken

*r*at a time is

*n*!/[(

*n*--

*r*)!

*r*!]. Symbol:

*C*

_{n}

_{r}**4.**the chemical reaction of two or more compounds, usually to form one other compound

**5.**

*Chess*a tactical manoeuvre involving a sequence of moves and more than one piece

Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

## combination

(mathematics)A set containing a certain number of
objects selected from another set.

The number of combinations of r objects chosen from a set of n is

n C r = n! / ((n-r)! r!)

where "n C r" is normally with n and r as subscripts or as n above r in parentheses.

See also permutation.

The number of combinations of r objects chosen from a set of n is

n C r = n! / ((n-r)! r!)

where "n C r" is normally with n and r as subscripts or as n above r in parentheses.

See also permutation.

## combination

(reduction)In the theory of combinators, a combination
denotes an expression in which function application is the
only operation.

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